Author:
Platonov V. P.,Petrunin M. M.
Subject
Mathematics (miscellaneous)
Reference16 articles.
1. N. H. Abel, “Ueber die Integration der Differential-Formel $$\frac {\rho dx}{\sqrt R}$$, wenn $$R$$ und $$\rho $$ ganze Functionen sind,” J. Reine Angew. Math. 1, 185–221 (1826).
2. D. S. Kubert, “Universal bounds on the torsion of elliptic curves,” Proc. London Math. Soc., Ser. 3, 33 (2), 193–237 (1976).
3. M. M. Petrunin, “$$S$$-units and periodicity of square root in hyperelliptic fields,” Dokl. Math. 95 (3), 222–225 (2017) [transl. from Dokl. Akad. Nauk 474 (2), 155–158 (2017)].
4. V. P. Platonov, “Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field,” Russ. Math. Surv. 69 (1), 1–34 (2014) [transl. from Usp. Mat. Nauk 69 (1), 3–38 (2014)].
5. V. P. Platonov and G. V. Fedorov, “On the problem of periodicity of continued fractions in hyperelliptic fields,” Sb. Math. 209 (4), 519–559 (2018) [transl. from Mat. Sb. 209 (4), 54–94 (2018)].